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Strichartz Estimates for Wave Equations with Charge Transfer Hamiltonians by Gong Chen (Paperback, 2021)
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We prove Strichartz estimates (both regular and reversed) for a scattering state to the wave equation with a charge transfer Hamiltonian in R3: ?ttu ? ?u +m j=1 Vj (x ? vj t) u = 0. The energy estimate and the local energy decay of a scattering state are also established. In order to study nonlinear multisoltion systems, we will present the inhomogeneous generalizations of Strichartz estimates and local decay estimates. As an application of our results, we show that scattering states indeed scatter to solutions to the free wave equation. These estimates for this linear models are also of crucial importance for problems related to interactions of potentials and solitons, for example, in [GC4].
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We prove Strichartz estimates (both regular and reversed) for a scattering state to the wave equation with a charge transfer Hamiltonian in R3: ?ttu ? ?u +m j=1 Vj (x ? vj t) u = 0. The energy estimate and the local energy decay of a scattering state are also established. In order to study nonlinear multisoltion systems, we will present the inhomogeneous generalizations of Strichartz estimates and local decay estimates. As an application of our results, we show that scattering states indeed scatter to solutions to the free wave equation. These estimates for this linear models are also of crucial importance for problems related to interactions of potentials and solitons, for example, in [GC4].Product Identifiers
PublisherAmerican Mathematical Society
ISBN-139781470449742
eBay Product ID (ePID)17049960208
Product Key Features
Publication Year2021
SubjectMathematics
LanguageEnglish
Publication NameStrichartz Estimates for Wave Equations with Charge Transfer Hamiltonians
TypeTextbook
AuthorGong Chen
SeriesMemoirs of the American Mathematical Society
FormatPaperback
Dimensions
Item Height254 mm
Item Width178 mm
Additional Product Features
Country/Region of ManufactureUnited States
Title_AuthorGong Chen
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